Unformatted text preview: ) < ∞ and φ 6 M then Z ( φ ◦  f  )d μ 6 φ ( t ) μ ( X ) + Mμ { f  > t } . 3. Say f n μ → f iﬀ ( ∀ ε > 0) μ { ff n  > ε } → . Let μ ( X ) < ∞ . Deﬁne d ( f,g ) = Z  fg  1 +  fg  d μ. Show that f n μ → f ⇔ d ( f,f n ) → . 1...
View
Full Document
 Spring '11
 Robinson
 FN, Lebesgue integration

Click to edit the document details